I'm in the Los Angeles area myself, and there are at least a couple of factors as to why you'll have duplicate feeds of MeTV, H&I, and Catchy locally. One of which are signal contours...when Weigel finalized the purchase of KAZA-TV, it was about a year later that it began channel-sharing with KHTV-CD, one of three low-powered signals also currently owned by Weigel. However, when the channel-sharing arrangement was made with KAZA and KHTV, there were areas in the Los Angeles basin that couldn't pick the OTA signal. There was a signal boost not long after, and now both stations cover most of L.A. and Orange Counties, as well as the western edge of the Inland Empire. The secondary affiliations with KDOC (MeTV), KCOP (H&I), and KTTV (Catchy) fills-in those gaps over-the-air where KAZA and its low-power siblings have signal issues. Which goes to the second point, at least with the Fox stations group, they have contractual agreements to carry some or all of the Weigel digital networks on their subchannels (except in Chicago, Weigel's home base), and KDOC's contract with MeTV pre-dates Weigel's purchase of KAZA.
On Spectrum cable, MeTV (KAZA 54-1), MeTV+ (KHTV 6-1), H&I (KSFV 27-2), Catchy (KPOM 14-1), and Story TV (KAZA 54-2) are all available there, and in 720p picture quality. A long-winded explanation, I'm sure, but that's the gist as far as the situation in Los Angeles.